Make object circular around one axis
This question is geometrically unclear.

What do you expect as the final result?

Here are some variations of an answer, that all fit around the sphere.

Can you identify from one of the following?





Don't really have time to answer this, but see what you can glean from this demo. I'm going to have to circle back around to answer properly as time allows.



Quick hint I use Shift+Z when scaling.

My pivot is set to 3d cursor .

Snapping is on and set to Verts.

The rest is extrude and fill.